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2 years ago

Geometry, solve for y

Mathematics

1 answer:

hammer [34]2 years ago

8 0

Answer:

x= 40

y= 38

Step-by-step explanation:

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Y is directly proportional to x when y=30, x=6

rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

$\therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}$

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2 years ago

Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.

OlgaM077 [116]

Answer:

$\sf \dfrac{1}{8}$

Step-by-step explanation:

Spinner choices: Red, Green, Yellow, Blue

Coin choices: Heads, Tails

$\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}$

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

$\implies \sf P(blue)=\dfrac{1}{4}$

$\implies \sf P(heads)=\dfrac{1}{2}$

$\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}$

5 0

1 year ago

Is the relationship between the amount of gas and pressure direct or indirect? Explain your answer

guajiro [1.7K]

Answer:

INDIRECT!

see below

Step-by-step explanation:

A law that says that if the temperature is constant then the volume of a fixed amount of a gas is <u>inversely proportional</u> to its pressure.If the pressure on a gas increases, the volume of the gas decreases because the gas particles are getting closer together.

8 0

2 years ago

a gallery owner purchased a very old painting for $3,000. the painting sells at a 325% increase in price what is the retail pric

nata0808 [166]

300%= 9,000
20%= 60
5%= 15

9,000+60+15= 9,075
answer: £9,075

3 0

2 years ago

Read 2 more answers

What are the solutions to the equation below ?<br>6x^2+4x=0

Brrunno [24]

I hope this helps!?!?

5 0

2 years ago